Extensions 1→N→G→Q→1 with N=C₄²⋊₂C₂ and Q=S₃

Direct product G=N×Q with N=C₄²⋊₂C₂ and Q=S₃

		d	ρ	Label	ID
S₃×C₄²⋊₂C₂		48		S3xC4^2:2C2	192,1262

Semidirect products G=N:Q with N=C₄²⋊₂C₂ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₄²⋊₂C₂⋊₁S₃ = C₄².₁₆₀D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄²⋊₂C₂	96		C4^2:2C2:1S3	192,1261
C₄²⋊₂C₂⋊₂S₃ = C₄²⋊₂₅D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄²⋊₂C₂	48		C4^2:2C2:2S3	192,1263
C₄²⋊₂C₂⋊₃S₃ = C₄²⋊₂₆D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄²⋊₂C₂	48		C4^2:2C2:3S3	192,1264
C₄²⋊₂C₂⋊₄S₃ = C₄².₁₆₁D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄²⋊₂C₂	96		C4^2:2C2:4S3	192,1266
C₄²⋊₂C₂⋊₅S₃ = C₄².₁₆₂D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄²⋊₂C₂	96		C4^2:2C2:5S3	192,1267
C₄²⋊₂C₂⋊₆S₃ = C₄².₁₆₃D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄²⋊₂C₂	96		C4^2:2C2:6S3	192,1268
C₄²⋊₂C₂⋊₇S₃ = C₄².₁₆₄D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄²⋊₂C₂	96		C4^2:2C2:7S3	192,1269
C₄²⋊₂C₂⋊₈S₃ = C₄²⋊₂₇D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄²⋊₂C₂	48		C4^2:2C2:8S3	192,1270
C₄²⋊₂C₂⋊₉S₃ = C₄².₁₆₅D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄²⋊₂C₂	96		C4^2:2C2:9S3	192,1271
C₄²⋊₂C₂⋊₁₀S₃ = C₄².₁₈₉D₆	φ: trivial image	96		C4^2:2C2:10S3	192,1265

Non-split extensions G=N.Q with N=C₄²⋊₂C₂ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₄²⋊₂C₂.S₃ = C₄².₁₅₉D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄²⋊₂C₂	96		C4^2:2C2.S3	192,1260

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